The Maximum Magnetic Field of a Bolt of Lightning: Formula Help

In summary, the maximum magnetic field associated with a bolt of lightning 1.4 m away is typically 0.00343 T, with a peak current of 24 kA. However, this calculation assumes a constant current rather than a time varying one.
  • #1
jakeowens
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The return stroke of a bolt of lightning typically carries a peak current of 24 kA up from the ground. What is the maximum magnetic field associated with the bolt 1.4 m away?l;

I'm just having trouble finding the right formula for this problem

is the correct formula B= (4pi x 10^-7* I)/2pi * r?

giving me a magnetic field of .00343 T?

.] The field-line pattern around the two bars in Fig. MC1 shows that
*either both bars are permanent magnets with like poles adjacent, or one is permanent and one is a soft iron bar
*neither bar is a permanent magnet
*both must be identical permanently magnetized bars with opposite poles adjacent to each other
* none of these
* both bars must be permanent magnets with like poles adjacent to each other
19-MC1.gif


For this one i said they must be identical permanent magnetzied bars with opposite poles adjacent to each other, i know they both have to be magnets, and the poles must be adjacent to each other or else the magnetic field lines would be repelled. I'm just not sure if one of them could be a soft iron bar. am i right?
 

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  • #2
jakeowens said:
The return stroke of a bolt of lightning typically carries a peak current of 24 kA up from the ground. What is the maximum magnetic field associated with the bolt 1.4 m away?l;

I'm just having trouble finding the right formula for this problem

is the correct formula B= (4pi x 10^-7* I)/2pi * r?

giving me a magnetic field of .00343 T?

This is correct, but it assumes a constant I, rather than a time varying I(t).

http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcur.html#c2
 
  • #3


Your reasoning is correct. The correct answer is that both bars must be identical permanent magnets with opposite poles adjacent to each other. This is because the field line pattern shows that the magnetic field lines are attracted to each other, indicating that the poles must be opposite. Additionally, the fact that the field lines are curved and do not extend beyond the bars suggests that the magnets are permanent, rather than temporary (such as a soft iron bar).
 

FAQ: The Maximum Magnetic Field of a Bolt of Lightning: Formula Help

What is the formula for calculating magnetic force?

The formula for calculating magnetic force is F = qvBsin(theta), where F is the force in Newtons, q is the charge of the particle in Coulombs, v is the velocity of the particle in meters per second, B is the magnetic field strength in Tesla, and theta is the angle between the velocity and magnetic field vectors.

How do I calculate the magnetic field strength using the magnetic force formula?

To calculate the magnetic field strength, rearrange the magnetic force formula to solve for B. The formula becomes B = F / (qv * sin(theta)). This will give you the magnetic field strength in Tesla.

What is the difference between magnetic force and magnetic field strength?

Magnetic force is the force exerted on a charged particle moving through a magnetic field, while magnetic field strength is a measure of the intensity of the magnetic field at a certain point.

Can I use the magnetic force formula to calculate the force between two magnets?

No, the magnetic force formula is used to calculate the force on a charged particle in a magnetic field. To calculate the force between two magnets, you would need to use the formula F = (mu * m1 * m2) / (4 * pi * r^2), where mu is the magnetic permeability, m1 and m2 are the magnetic dipole moments of the two magnets, and r is the distance between them.

How does the angle between the velocity and magnetic field affect the magnetic force?

The magnetic force is at its maximum when the angle between the velocity and magnetic field is perpendicular (90 degrees). It decreases as the angle decreases, and becomes zero when the angle is parallel (0 degrees).

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